Harvard Logic Colloquium

Location:

Logic Center, Room 420, 2 Arrow Street

Donald Martin (UCLA): Cantor's Grundlagen

Cantor’s early (1883) Grundlagen einer allgemeinen Mannigfaltigkeitslehre is badly organized and hasimportant errors and omissions. Nevertheless it is rich in content, and its concepts are in some wayssuperior to Cantor’s later ones.

I will mainly concentrate on a few aspects of Grundlagen: (1) what might be called Cantor’s quasiaxiomatic,iterative account of ordinal numbers; (2) the role that something like a Replacement Axiomplays in this account...